-2n+6+4n=7n-8n-9

Solution for -2n+6+4n=7n-8n-9 equation:

Simplifying
-2n + 6 + 4n = 7n + -8n + -9

Reorder the terms:
6 + -2n + 4n = 7n + -8n + -9

Combine like terms: -2n + 4n = 2n
6 + 2n = 7n + -8n + -9

Reorder the terms:
6 + 2n = -9 + 7n + -8n

Combine like terms: 7n + -8n = -1n
6 + 2n = -9 + -1n

Solving
6 + 2n = -9 + -1n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add 'n' to each side of the equation.
6 + 2n + n = -9 + -1n + n

Combine like terms: 2n + n = 3n
6 + 3n = -9 + -1n + n

Combine like terms: -1n + n = 0
6 + 3n = -9 + 0
6 + 3n = -9

Add '-6' to each side of the equation.
6 + -6 + 3n = -9 + -6

Combine like terms: 6 + -6 = 0
0 + 3n = -9 + -6
3n = -9 + -6

Combine like terms: -9 + -6 = -15
3n = -15

Divide each side by '3'.
n = -5

Simplifying
n = -5